

A073230


Decimal expansion of (1/e)^e.


15



0, 6, 5, 9, 8, 8, 0, 3, 5, 8, 4, 5, 3, 1, 2, 5, 3, 7, 0, 7, 6, 7, 9, 0, 1, 8, 7, 5, 9, 6, 8, 4, 6, 4, 2, 4, 9, 3, 8, 5, 7, 7, 0, 4, 8, 2, 5, 2, 7, 9, 6, 4, 3, 6, 4, 0, 2, 4, 7, 3, 5, 4, 1, 5, 6, 6, 7, 3, 6, 3, 3, 0, 0, 3, 0, 7, 5, 6, 3, 0, 8, 1, 0, 4, 0, 8, 8, 2, 4, 2, 4, 5, 3, 3, 7, 1, 4, 6, 7, 7, 4, 5, 6, 7
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OFFSET

0,2


COMMENTS

(1/e)^e = e^(e) = 1/(e^e) (reciprocal of A073226).
The power tower function f(x)=x^(x^(x^...)) is defined on the closed interval [e^(e),e^(1/e)].  Lekraj Beedassy, Mar 17 2005


REFERENCES

Paul Halmos, "Problems for Mathematicians, Young and Old", Dolciani Mathematical Expositions, 1991, Solution to problem 8A (Power Tower) p. 240.


LINKS

Table of n, a(n) for n=0..103.
J. Sondow and D. Marques, Algebraic and transcendental solutions of some exponential equations, Annales Mathematicae et Informaticae 37 (2010) 151164; see the Appendix.


EXAMPLE

0.06598803584531253707679018759...


MATHEMATICA

a=IntegerDigits[IntegerPart[(1/E)^E*10^99]]; PrependTo[a, 0] (* Vladimir Joseph Stephan Orlovsky, Jul 17 2008 *)
RealDigits[(1/E)^E, 10, 100][[1]] (* Alonso del Arte, Aug 26 2011 *)


PROG

(PARI) exp(1)^exp(1)


CROSSREFS

Cf. A001113 (e), A068985 (1/e), A073229 (e^(1/e)), A072364 ((1/e)^(1/e)), A073226 (e^e).
Sequence in context: A165227 A242761 A200477 * A134881 A229983 A100884
Adjacent sequences: A073227 A073228 A073229 * A073231 A073232 A073233


KEYWORD

cons,nonn


AUTHOR

Rick L. Shepherd, Jul 22 2002


STATUS

approved



